Question

If p:q=2/3:5/6 and q:r=3/4:1/2 findp:q:r

Answer 1

Step-by-step explanation:

To find p:q:r,

Remember that P:Q is the same as P/Q

  =2/3 divided by 5/6

     =2/3 times 6/5 =4/5 or 4:5

Also,Q:R is the same as Q/R

 =3/4 divided by 1/2

    =3/4 times 2/1 = 3/2 or 3:2

NOTE; Q is common to P and R so the numbers need to be same

   which is 5 and 2,factorise and find the Lowest Common multiple

     5  =5 x 1

     3  =3 x 1

  and the LCM= 15

Hence 5 needs to be increased by 3 folds

           3 needs to be increased by 5 folds

Then multiply according to their respective folds

Therefore, 4:5 x 3=12:15

                 3:2 x 5=15:10

now that our Q's are the same,

   P:Q: R

         = 12:15:10